What is the Least Common Multiple of 66935 and 66941?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 66935 and 66941 is 4480695835.
LCM(66935,66941) = 4480695835
Least Common Multiple of 66935 and 66941 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66935 and 66941, than apply into the LCM equation.
GCF(66935,66941) = 1
LCM(66935,66941) = ( 66935 × 66941) / 1
LCM(66935,66941) = 4480695835 / 1
LCM(66935,66941) = 4480695835
Least Common Multiple (LCM) of 66935 and 66941 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66935 and 66941. First we will calculate the prime factors of 66935 and 66941.
Prime Factorization of 66935
Prime factors of 66935 are 5, 11, 1217. Prime factorization of 66935 in exponential form is:
66935 = 51 × 111 × 12171
Prime Factorization of 66941
Prime factors of 66941 are 7, 73, 131. Prime factorization of 66941 in exponential form is:
66941 = 71 × 731 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 66935 and 66941.
LCM(66935,66941) = 51 × 111 × 12171 × 71 × 731 × 1311
LCM(66935,66941) = 4480695835
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